Motion estimation (ME) processes is considered as the most computationally intensive part of the conventional video compression standards. Low bit-depth representation based ME approaches provides an important alternative to reduce this computational load by making use of a lightweight and hardware efficient matching criteria. Constrained one-bit transform (C-1BT) based ME employs only two bit-planes and stands out its superior performance compared to other low bit-depth based ME approaches. Recently an adaptive search range determination algorithm is proposed to further speed-up C-1BT based ME. This paper presents novel hardware architecture for adaptive search range determination based ME method mentioned above. Proposed architecture implements spiral search method. No on-chip memory is needed neither for reference and nor for current macroblocks. Thus, there is no need to design a complex memory hierarchy and control logic to implement the spiral search method. A data reuse scheme among adjacent search windows is utilised with thanks to two axis rotatable two dimensional shift register architecture. Thus, a very low off-chip memory bandwidth can be achieved.